L’Hospital Rule states that
Posted: Thu Jul 14, 2022 9:29 am
a) If \(\lim_{x\rightarrow a}\frac{f(x)}{g(x)}\) is an indeterminate form than \(\lim_{x\rightarrow a}\frac{f(x)}{g(x)}=\lim_{x\rightarrow a}\frac{f'(x)}{g'(x)}\) if \(\lim_{x\rightarrow a} \frac{f'(x)}{g'(x)}\) has a finite value
b) \(\lim_{x\rightarrow a}\frac{f(x)}{g(x)}\) always equals to \(\lim_{x\rightarrow a}\frac{f'(x)}{g'(x)}\)
c) \(\lim_{x\rightarrow a}\frac{f(x)}{g(x)}\) if an indeterminate form than cannot be solved
d) \(\lim_{x\rightarrow a}\frac{f(x)}{g(x)}\) if an indeterminate form than it is equals to zero.
b) \(\lim_{x\rightarrow a}\frac{f(x)}{g(x)}\) always equals to \(\lim_{x\rightarrow a}\frac{f'(x)}{g'(x)}\)
c) \(\lim_{x\rightarrow a}\frac{f(x)}{g(x)}\) if an indeterminate form than cannot be solved
d) \(\lim_{x\rightarrow a}\frac{f(x)}{g(x)}\) if an indeterminate form than it is equals to zero.